On a class of selection rules without group actions in field theory and string theory

Kaidi, Justin; Tachikawa, Yuji; Zhang, Hao Y.

doi:10.21468/SciPostPhys.17.6.169

Title: On a class of selection rules without group actions in field theory and string theory

Journal Article · 18 December 2024 · SciPost Physics

DOI: https://doi.org/10.21468/SciPostPhys.17.6.169 · OSTI ID:2483368

;

; Zhang, Hao Y.

We discuss a class of selection rules which i) do not come from group actions on fields, ii) are exact at tree level in perturbation theory, iii) are increasingly violated as the loop order is raised, and iv) eventually reduce to selection rules associated with an ordinary group symmetry. We start from basic field-theoretical examples in which fields are labeled by conjugacy classes rather than representations of a group, and discuss generalizations using fusion algebras or hypergroups. We also discuss how such selection rules arise naturally in string theory, such as for non-Abelian orbifolds or other cases with non-invertible worldsheet symmetries.

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Sponsoring Organization:: USDOE

OSTI ID:: 2483368

Journal Information:: SciPost Physics, Journal Name: SciPost Physics Journal Issue: 6 Vol. 17; ISSN 2542-4653

Publisher:: Stichting SciPostCopyright Statement

Country of Publication:: Netherlands

Language:: English

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